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Finding the Third Proportional to 351,952 and 770,420

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Solution

The third proportional to 351,952 and 770,420 is: 1,686,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,952 : 770,420 = 770,420 : x
  2. Step 2: Convert to fraction form
    351,952/770,420 = 770,420/x
  3. Step 3: Cross multiply
    351,952x = 770,420 × 770,420
  4. Step 4: Simplify right side
    351,952x = 593,546,976,400
  5. Step 5: Solve for x
    x = 593,546,976,400/351,952
  6. Step 6: Final answer
    x = 1,686,442.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.